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Finding the Fourth Proportional to 216,642.83, 299,042.26 and 148,884.10

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Solution

The fourth proportional to 216,642.83, 299,042.26 and 148,884.10 is: 205,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,642.83 : 299,042.26 = 148,884.10 : x
  2. Step 2: Convert to fraction form
    216,642.83/299,042.26 = 148,884.10/x
  3. Step 3: Cross multiply
    216,642.83x = 299,042.26 × 148,884.10
  4. Step 4: Simplify right side
    216,642.83x = 44,522,636,622.25
  5. Step 5: Solve for x
    x = 44,522,636,622.25/216,642.83
  6. Step 6: Final answer
    x = 205,511.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.